What is the derivative of 2+5arctan(x/2) ?

The derivative of 2+5arctan(x/2) is (10)/(x^2+4)

What is the first derivative of 2+5arctan(x/2) ?

The first derivative of 2+5arctan(x/2) is (10)/(x^2+4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

2 + 5 arctan (\frac{x}{2})

\frac{10}{x ^{2} + 4}

Solution steps

\frac{d}{d x} (2 + 5 arctan (\frac{x}{2}))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2) + \frac{d}{d x} (5 arctan (\frac{x}{2}))

\frac{d}{d x} (2) = 0

\frac{d}{d x} (5 arctan (\frac{x}{2})) = \frac{10}{x ^{2} + 4}

= 0 + \frac{10}{x ^{2} + 4}

Simplify

= \frac{10}{x ^{2} + 4}

\frac{1}{( x + 6 ) ^{2}}

x y^{^{'}} + y = yy

\frac{\partial}{\partial y} (x^{2} - y x)

\frac{2 x}{x + 1}

\int \frac{1}{e ^{- 2 y}} d y

What is the derivative of 2+5arctan(x/2) ?
The derivative of 2+5arctan(x/2) is (10)/(x^2+4)
What is the first derivative of 2+5arctan(x/2) ?
The first derivative of 2+5arctan(x/2) is (10)/(x^2+4)